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Problem

Use Property 8 to estimate the value of the integ…

06:46

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Problem 60 Easy Difficulty

Use Property 8 to estimate the value of the integral.

$ \displaystyle \int^3_0 \frac{1}{x + 4} \,dx $


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00:42

Frank Lin

Related Courses

Calculus 1 / AB

Calculus: Early Transcendentals

Chapter 5

Integrals

Section 2

The Definite Integral

Related Topics

Integrals

Integration

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Top Calculus 1 / AB Educators
Catherine Ross

Missouri State University

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Lectures

Video Thumbnail

05:53

Integrals - Intro

In mathematics, an indefinite integral is an integral whose integrand is not known in terms of elementary functions. An indefinite integral is usually encountered when integrating functions that are not elementary functions themselves.

Video Thumbnail

40:35

Area Under Curves - Overview

In mathematics, integration is one of the two main operations of calculus, with its inverse operation, differentiation, being the other. Given a function of a real variable (often called "the integrand"), an antiderivative is a function whose derivative is the given function. The area under a real-valued function of a real variable is the integral of the function, provided it is defined on a closed interval around a given point. It is a basic result of calculus that an antiderivative always exists, and is equal to the original function evaluated at the upper limit of integration.

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Watch More Solved Questions in Chapter 5

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Problem 28
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Problem 31
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Problem 50
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Problem 52
Problem 53
Problem 54
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Video Transcript

because of the fact that one over X plus four is decreasing on the interval. We know that 1/7 is less than one over X plus four, which is less than or equal to one for. Therefore, we know 17 times three months here, which is 3/7 is less than equal to the integral from 0 to 3 one over X plus four DX, which is less than or equal to 14 times three minutes here, which just 1/4 times three, which is simply 3/4.

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Calculus: Early Transcendentals

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Related Topics

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Top Calculus 1 / AB Educators
Catherine Ross

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Kristen Karbon

University of Michigan - Ann Arbor

Joseph Lentino

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Lectures

Video Thumbnail

05:53

Integrals - Intro

In mathematics, an indefinite integral is an integral whose integrand is not known in terms of elementary functions. An indefinite integral is usually encountered when integrating functions that are not elementary functions themselves.

Video Thumbnail

40:35

Area Under Curves - Overview

In mathematics, integration is one of the two main operations of calculus, with its inverse operation, differentiation, being the other. Given a function of a real variable (often called "the integrand"), an antiderivative is a function whose derivative is the given function. The area under a real-valued function of a real variable is the integral of the function, provided it is defined on a closed interval around a given point. It is a basic result of calculus that an antiderivative always exists, and is equal to the original function evaluated at the upper limit of integration.

Join Course
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